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Finding the Fourth Proportional to 181,284.80, 271,927.20 and 81,492.80

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Solution

The fourth proportional to 181,284.80, 271,927.20 and 81,492.80 is: 122,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,284.80 : 271,927.20 = 81,492.80 : x
  2. Step 2: Convert to fraction form
    181,284.80/271,927.20 = 81,492.80/x
  3. Step 3: Cross multiply
    181,284.80x = 271,927.20 × 81,492.80
  4. Step 4: Simplify right side
    181,284.80x = 22,160,108,924.16
  5. Step 5: Solve for x
    x = 22,160,108,924.16/181,284.80
  6. Step 6: Final answer
    x = 122,239.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.